On the Euler characteristic for piecewise linear manifolds

M. Roček; Ruth M. Williams

doi:10.1016/0370-2693(91)90559-9

On the Euler characteristic for piecewise linear manifolds

M. Roček
, Ruth M. Williams

Institute for Theoretical Physics

CERN

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

The Dehn-Sommerville relations and the corresponding equations for the angle sums are used to derive two expressions for the Euler characteristic of a simplicial manifold, firstly in terms of the numbers of even dimensional subsimplices, and secondly in terms of even-dimensional deficit angles. In each case the coefficients involved are related to the Bernoulli numbers.

Original language	English
Pages (from-to)	95-99
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	273
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(91)90559-9
State	Published - Dec 12 1991

Access to Document

10.1016/0370-2693(91)90559-9

Cite this

@article{af8d4e4995d74bf18253c3410d6a7988,

title = "On the Euler characteristic for piecewise linear manifolds",

abstract = "The Dehn-Sommerville relations and the corresponding equations for the angle sums are used to derive two expressions for the Euler characteristic of a simplicial manifold, firstly in terms of the numbers of even dimensional subsimplices, and secondly in terms of even-dimensional deficit angles. In each case the coefficients involved are related to the Bernoulli numbers.",

author = "M. Ro{\v c}ek and Williams, \{Ruth M.\}",

year = "1991",

month = dec,

day = "12",

doi = "10.1016/0370-2693(91)90559-9",

language = "English",

volume = "273",

pages = "95--99",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

number = "1-2",

}

TY - JOUR

T1 - On the Euler characteristic for piecewise linear manifolds

AU - Roček, M.

AU - Williams, Ruth M.

PY - 1991/12/12

Y1 - 1991/12/12

N2 - The Dehn-Sommerville relations and the corresponding equations for the angle sums are used to derive two expressions for the Euler characteristic of a simplicial manifold, firstly in terms of the numbers of even dimensional subsimplices, and secondly in terms of even-dimensional deficit angles. In each case the coefficients involved are related to the Bernoulli numbers.

AB - The Dehn-Sommerville relations and the corresponding equations for the angle sums are used to derive two expressions for the Euler characteristic of a simplicial manifold, firstly in terms of the numbers of even dimensional subsimplices, and secondly in terms of even-dimensional deficit angles. In each case the coefficients involved are related to the Bernoulli numbers.

UR - https://www.scopus.com/pages/publications/0002096361

U2 - 10.1016/0370-2693(91)90559-9

DO - 10.1016/0370-2693(91)90559-9

M3 - Article

AN - SCOPUS:0002096361

SN - 0370-2693

VL - 273

SP - 95

EP - 99

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -

On the Euler characteristic for piecewise linear manifolds

Abstract

Access to Document

Other files and links

Fingerprint

Cite this